The California Duties Bill, giving the new state $300,000 out of the duties collected while she was a territory, to defray the expenses of the state government up to the time of her admission, passed the Senate February 25th. The Cheap Postage Bill, as amended, passed the following day, by a vote of 39 to 15. This bill provides a rate of three cents when pre-paid, five cents when not pre-paid, on letters less than half an ounce, and for any distance exceeding three thousand miles double these rates. Instead of a uniform rate of one cent on newspapers, it provides a tariff postage from five to twenty-five cents per quarter for weekly papers, according to distances; semi-weeklies to pay double, tri-weeklies triple, and dailies five times these rates. The House afterwards added an amendment providing for the coinage of three-cent pieces, which was concurred in by the Senate. The law will take effect on the 1st of July next.

On Saturday, February 22d, Mr. Rantoul, of Massachusetts, appeared and took his seat for the remaining ten days of his term. The bill abolishing constructive mileage on the part of the Senate passed both houses. The River and Harbor Bill, appropriating between two and three millions of dollars for the improvement of the harbors of the coast and the lakes, and the river navigation of the interior, was taken up in the Senate, on Saturday, March 1st, by a vote of 31 to 25. The debate continued until past midnight, when the Senate adjourned. The subject was resumed on Monday morning, the opponents of the bill, who were in the minority, exercising their ingenuity in order to prevent a vote. There being now but a few hours of the session remaining, the utmost activity and excitement prevailed in both houses. The indispensable Appropriation Bills were yet to be passed, the Postage Bill was waiting its final vote, and a number of important measures, disposed of by one house, were waiting the action of the other. The discussion in the Senate was continued through the whole of Monday night, until four o'clock on Tuesday morning, when the majority yielded to a motion postponing its consideration for four hours, in order to allow the necessary Appropriation Bills to be acted on.

In the House, on Monday, the Senate's Joint Resolution requesting the President to authorize one of our vessels in the Mediterranean to bring Kossuth and his companions to this country, was passed by a large majority. The resolution relieving Mr. Ritchie from the terms of his printing contract, and giving him one-half the proceeds fixed by the law of 1819, passed the House by a majority of five, and was taken up in the Senate about half an hour before the close of the session, but was lost for want of time. Among the last acts of the house were, the passage of the Senate bill paying $40,000 to the American Colonization Society for expenses incurred in supporting the Africans recaptured from the bark Pons; the defeat of the resolution creating the rank of Lieutenant-General; and the act founding a Military Asylum for the relief of disabled soldiers. The French Spoliation Bill, the bill making Land Warrants Assignable, the bill granting ten million acres of the public lands to the states for the relief of the indigent insane, and all the proposals for new steamship lines, as well as Mr. Collins's application for an additional appropriation to his Liverpool line, were lost for want of time. In the Senate, after the River and Harbor Bill was dropped, the Army and Navy and Civil and Diplomatic Appropriation Bills, the Post Route Bill, and the Light House Bill, were all passed. Both houses adjourned at noon, on Tuesday, March 4th.

After an interval of twenty minutes, the Senate was again called to order, a Special Session having been ordered by the President to consider Executive business. Messrs. Bright, Bayard, Cass, Jefferson Davis, Hamilton, Mason, Pratt, Rusk, and Dodge of Wisconsin, Senators elect, appeared and were qualified. Mr. Foote, of Vermont, appeared on the 8th and was sworn in. Mr. Yulee presented a communication, claiming to have been elected by the Legislature of Florida, he having received 29 votes when the remainder were blank. The Judiciary Committee reported against allowing the California Senators mileage by the Panama route, but the discussion of the subject was postponed till the next session.

On Friday, the 7th, the Senate ratified the treaties lately negotiated with Portugal, with Switzerland, and the treaty with Mexico respecting the Tehuantepec route from the Gulf to the Pacific. The treaty of extradition with Mexico was rejected. The treaty with Switzerland was amended in some particulars.

A message was received in reply to a resolution calling on the State Department to furnish copies of the correspondence with Turkey regarding Kossuth. In addition to the correspondence which has already appeared, Mr. Webster in February, addressed a letter to J. P. Brown, Dragoman of the Legation at Constantinople, concerning the probable intentions of Turkey; to which Mr. Brown replied that in May, 1851, the year for which the Sultan promised Austria to retain the Hungarians will expire. Mr. Webster thereupon addressed a letter to Mr. Marsh, U. S. minister to Constantinople, in relation to the approaching release of Kossuth and his companions, and the offer to be made to them and to the Sublime Porte, in accordance with the joint resolution of Congress. Mr. Webster requests our minister to state that though the United States has no intention to interfere in any manner with the international relations of other Governments, yet, in this case, it hopes that suggestions proceeding from no other motives than friendship and respect for the Porte, and sympathy for the unhappy exiles, may be received as a proof of national good-will. He alludes in terms of high commendation to the course of the Porte in refusing to deliver the exiles into the hands of their pursuers, and while acknowledging the force of the considerations through which they have been detained up to the present time, urges that their transportation to this country cannot longer be reasonably opposed. The tone of Mr. Webster's letter is humane, eloquent and dignified; it will be read with earnest satisfaction by the friends of Liberty throughout the Globe.

The action of the Executive Session of the Senate was chiefly upon nominations made by the President. These having been completed and some resolutions adopted, calling for information on various subjects, to be communicated to the next session, the Senate adjourned on the 13th of March. The following are the principal nominations: Hon. Robert F. Schenck, of Ohio, Minister to Brazil; John B. Kerr, of Maryland, Chargé to Nicaragua; John S. Pendleton, of Virginia, Chargé to the Argentine Republic; Mr. Markoe, of the State Department, Chargé to Denmark; Y. P. King, of Georgia, Chargé to New-Granada; Samuel G. Goodrich, of Massachusetts, Consul at Paris; John Howard Payne, Consul to Tunis; Mr. Easby, of Washington, Commissioner of Public Buildings; Grafton Baker, of Mississippi, Chief Justice of New-Mexico; Ogden Hoffman, Jr., of San Francisco, District Judge for California; George G. Baker, of Ohio, Consul to Genoa; Henry A. Homer, of Massachusetts, Dragoman to the Turkish Legation; H. Jones Brooke, of Penn., Consul at Belfast; and Charles Russell, Collector at Santa Barbara, California. Jacob B. Moore, of New-York, was confirmed as Post-Master, and T. Butler King, of Georgia, as Collector, at San Francisco.

M. Marcoleta, Minister Plenipotentiary of the Republic of Nicaragua, arrived in this country from Europe, and was officially presented to the President on Saturday, Feb. 22. The addresses on both sides were of the most cordial character. Commodore Jones, whose trial by Court Martial has been going on at Washington for some time past, has been found guilty of speculating in gold dust with the public funds, and is suspended from his command for five years, half of the time without pay.

The Superintendent of the Census has published a table, compiled from the returns of the Marshals, which are complete in all the principal States. From this it appears that the entire population of the United States will be about 23,200,000, of which 8,070,734 are slaves. The entire representative population will be 21,710,000, and the ratio of representation 93,170, the law of May, 22, 1850, determining the number of representatives at 233. The States which gain, in all, are as follows: Arkansas 1, Indiana 1, Illinois 2, Massachusetts 1, Mississippi 1, Michigan 1, Missouri 2, Pennsylvania 1—10. The following States lose, viz; Maine 1, New Hampshire 1, New-York 1, North Carolina 2, South Carolina 2, Vermont 1, Virginia 2. The free States gain six members and lose four; the slave States gain four and lose six.

No Senator has yet been elected in the State of Massachusetts. On the eighteenth ballot, Mr. Sumner lacked nine votes of an election, after which the matter was postponed to the 2d of April. In the New-York Legislature, a joint resolution providing for the election of a U. S. Senator finally passed at 2 a. m. on the 19th, and the Hon. Hamilton Fish, ex-Governor of the State, was then elected. In the Ohio Legislature, an election was finally reached on the 15th of March, Benjamin F. Wade, the Whig candidate, receiving a majority of three. The New Jersey Legislature has chosen Commodore Robert F. Stockton, on the 27th ballot, by a majority of one, three of the members being absent. Commodore Stockton resigned his place in the Navy last year.