Question

one mole of an ideal gas is held at a constant volume of 1 lt. find the change in pressure if the temperature increases by 50 c

Answer 1

Answer:

1 litre of volume stands for 0.001m³

For an ideal gas, PV=nRT stands at all times.

So, for state 1, P₁V₁=nRT₁ ........1)

and for state 2, P₂V₂=nRT₂ ........2)

Subtracting 1) from 2) gives us

P₂V₂ - P₁V₁= nRT₂ - nRT₁

Since, volume is constant

V(P₂-P₁) = nR(T_2-T₁)

So, (P₂-P₁) = nR(T_2-T₁)/V = 1*8.314*50/0.001 = 415700 Pa