Question

A cylinder fitted with a movable piston and filled with a gas has a volume of 188.5mL at 26.7 °C when the applied pressure is 755.2 torr. The temperature of the oil bath surrounding the cylinder was increased to 165.2 °C, and the load on the piston was changed. Careful measurement now gave a value of 210.5mL for the volume. What was the final pressure in the system, in torr? Select one:

O a. 715.5 tor O b. 576.9 torr Oc. 988 6 torr O d. 1233 torr 462.6 tor

Answer 1

C

Step-by-step explanation:

To find the new pressure, we will use this formula: P₁V₁/T₁ = P₂V₂/T₂

P₁ = Original pressure (755.2)

V₁ = Original volume (188.5)

T₁ = Original temperature in kelvins (26.7 + 273.15 = 299.85)

P₂ = Final Volume (?)

V₂ = Final volume (210.5)

T₂ = Final temperature in kelvins (165.2 + 273.15 = 438.35)

Here is our equation

(755.2)(188.5)/(299.85) = (210.5)P₂/(438.35)

Hopefully, you have a calculator handy because this equation will end up looking like this:

474.75471 = (0.48021)P₂

Divide both sides by the coefficient

474.75471/0.48021 = (0.48021)P₂/0.48021

P₂ = 988.64