Find the work required to compress adiabatically 1 g of air initally at N.T.P. to half its volume.Density of air at N.T.P.=0.00129 `g//cc` and `gamma = 1.4`.

Calculate the volume of 4.4 g of CO_2 at S.T.P.

0.1 mole of CO_2 has volume at S.T.P.

A volume of gas at atmospheric pressure is compressed adiabatically to half its original volume. Calculate the resulting pressure (gamma = 1.4)

What volume is occupied by 0.5 mole of nitrogen gas at N.T.P?

A litre of hydrogen at 27^@C and 10^5 Nm^-2 pressure expand isothermally until its volume is doubled and then adiabatically until its volume is redoubled. Find the final pressure of the gas. 1(gamma = 1.4)

Show that the sequence defined by T_n = 4n + 7 is an A.P. Also, find its common difference.

If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove that a+4b+c is equal to 0.

An ideal gas with pressure P, volume V and temperature T is expanded isothermally to a volume 2V and a final pressure P_i , If the same gas is expanded adiabatically to a volume 2V and a final pressure P_alpha find the value of ratio P_alpha/P_i . The ratio of the specific heats for the gas is 1.67.

Find the indicated terms in the following : a= 1, r= 1.2 , t_4, t_n .

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+ 1)th to (2n)th term is 1/r^n .