Question

The volume of an ideal gas is 4.1 dm3 at 378.5 °C and 1 atm pressure
What is the volume (in liters) of the same amount of this gas at 304.4 °C and 1 atm pressure?



Universal Gas Constant = 8.314 J K−1 mol−1 = 0.082 L atm K−1mol−1

T(K) = T(°C) + 273.15

1.013 × 105 atm = 1 Pa = 1 N m-2

1000ml = 1l = 1 dm3​

Answer 1

Answer:

Answer

The ideal gas equation relating pressure (P), volume (V), and absolute temperature (T) is given as:

PV = nRT

Where,

R is the universal gas constant =8.314Jmol

−1

K

−1

n = Number of moles = 1

T = Standard temperature = 273 K

P = Standard pressure = 1 atm =1.013×10

5

Nm

−2

∴V=nRT/P

=1×8.314×273/(1.013×10

5

)

=0.0224m

3

=22.4 litres

Hence, the molar volume of a gas at STP is 22.4 litres.