Answer to Question #100136 in General Chemistry for cool

Question

A sample of a gas occupies 1640 mL at 70◦C and 740 torr. What volume would it occupy at the same pressure and 389◦C? Answer in units of mL.

Answer 1

According to the ideal gas law:

P₁×V₁/T₁ = P₂×V₂/T₂,

where P1 and P2 - initial and final pressures, V₁ and V₂ - initial and final volumes, T₁ and T₂ - initial and final temperatures.

As the pressure is constant:

V₁/T₁ = V₂/T₂

From here,

V₂ = V₁×T₂/T₁

As V₁ = 1640ml, T₁ = 70◦C = 343 K, and T₂ = 389◦C = 662 K:

V₂ = 1640ml × 662 K / 343 K = 3165 ml

Answer: 3165 ml