Temperature and volume

Question

Sample of gas has initial temp of 37C and vilume of 1.50x10^3L If temp changes to 67C and no chnage in pressure/amount of gas, what is new volume of gas?(V2)

Answer 1

This is an example of Charles' Law. It states that if pressure and number of molecules of gas remain constant, volume and temperature are related like this:

 

V₁/T₁ = V₂/T₂,

 

where V₁ is the gas's initial volume, T₁ is the gas's initial temperature, V₂ is the volume after some change in temperature or volume, and T₂ is the temperature after some change in temperature or volume. Essentially, the law says that if you increase the temperature of a gas, its volume will increase as well.

 

For your problem, initial temperature T₁ = 37, initial volume V₁ = 1.5 × 10³, and temperature after a change T₂ = 67. Plug those into the equation and solve for the new volume V₂.