42.8k views
5 votes
200 mL of an ideal gas is placed in a piston and is held at a pressure of 500 torr. If the temperature is held constant and the pressure is increased to 650 torr, what is the new volume of the gas?

User Adam Marsh
by
6.5k points

1 Answer

1 vote

Answer:

V₂=153.84 m L

Step-by-step explanation:

Given that

Initial volume ,V₁ = 200 m L

Initial pressure ,P₁= 500 torr

Final pressure P₂ = 650 torr

Lets take the final volume =V₂

Given that process occurs at constant temperature and we know that for constant temperature process

P₁ V₁ = P₂ V₂


V_2=(P_1V_1)/(P_2)

Now by putting the values


V_2=(500* 200)/(650)\ mL

V₂=153.84 m L

Therefore the new volume of the gas will be 153.8 4mL.

User Gignosko
by
7.1k points