Question

At stp a certain mass of gas occupies a volume of 790cm find the temperature at which the gas occupies 1000cm and pass a pressure of 726mmhg

Answer 1

At STP a certain mass of gas occupies a volume of 790 cm find the temperature at which the gas occupies 1000 cm and pass a pressure of 726 mmHg.

At initial state(at STP): p₁=760 mmHg, v₁=790 cm,T₁=273.15°k.

At final state: p₂ =726 mmHg, v₂=1000 cm.

according to ideal gas law:

for initial state: p₁v₁=nRT₁.      (1)

for final state: p₂v₂=nRT₂.        (2)

dividing (1) by (2)

(p₁v₁)/(p₂v₂)=T₁/T₂ 

T₂=(p₂v₂/p₁v₁)*T₁=(726*1000/760*790)*273.15=330.29°k.

The temperature at which the gas occupies 1000cm and pass a pressure of 726mmHg = 330.29°k.