A container of gas is initially at 0.750 atm and 45 C. What will the pressure be at 105 C?

A) 0.496 atm

B) 55.9 mmHg

C) 39.5 mmHg

D) 359 atm

A container of gas is initially at 0.750 atm and 45 C. What will the pressure be at 105 C

Explanation:

We have seen that there are many gas laws : that is the generalization made on gases relating its volume, pressure, temperature and moles of gas.

Gay lussac's law

According to it : At constant volume, for given mole of gases : Pressure varies directly with temperature.

That is:

P ∞ T

or, P₁/T₁=P₂/T₂

In the above question, it is asked to find the pressure at temperature 105C:

P₁=0.750 atm=

T₁=45 C = 318K

P₂=?

T=105 C = 378K

We have:

P₁/T₁=P₂/T₂

0.750/318=P₂/378

P₂ = 0.750 X 105/45 = 1.75atm