Answer to Question #187193 in Mechanical Engineering for zeb

Question

ii. A mass of gas is stored in a cylinder. The gas is stored at a pressure of 1.2 MPa and the cylinder has a volume of 0.03 m3 and temperature of 100 oC , Find the mass of the gas.

The characteristic gas constant for air is 300 Jkg−1K−1.

Answer 1

Given:

Pressure (P)=1.2 MPa = 1.2 x10⁶ Pa

Volume (V)= 0.03 m³

Temperature (T)= 100 ^oC=373 K

The characteristic gas constant for air (R) = 300 Jkg−1K−1.

To Find :

Mass of the gas(M)

Solution :

Assuming air as an ideal gas , It obeys ideal gas equation P.V=M RT

Mass (M) of air is given by

$M=\frac{P\times V}{R\times T}$

$M=\frac{1.2\times 10^6\times 0.03}{300\times 373}=$ 0.322 kg