Answer to Question #193318 in Chemistry for BEKWELE EGBULE

Question

A gas at a volume in a container at pressure is compressed to on-fifth of it's volume. What will it's pressure be if it's temperature remains constant

Answer 1

P₁ = P_o

V₁ = V_o

T₁ = T₂ = const

P₂ = unknown

V₂ = (1/5)V_o = 0.2V_o

Solution:

Since the temperature and amount of gas remain unchanged, Boyle's law can be used.

Boyle's gas law can be expressed as: P₁V₁ = P₂V₂

To find the new pressure, solve the equation for P₂:

P₂ = P₁V₁ / V₂

P₂ = (P_o × V_o) / (0.2V_o) = 5P_o

P₂ = 5P_o

Thus, if the volume is decreased 5 times, the pressure will increase 5 times.

Answer: 5P_o