a hot air balloon has a volume of 99 L at 15°C. to what temperature must be heated to raise its volume to 1200 L ,assuming the p

Question

Marina86 [1]

3 years ago

9

a hot air balloon has a volume of 99 L at 15°C. to what temperature must be heated to raise its volume to 1200 L ,assuming the p

ressure remains constant? T =.......°C

Chemistry

1 answer:

bezimeni [28] · Answer 1 · 2022-05-12T03:30:42+03:00

Since the pressure is constant, you can use the equation V₁/T₁=V₂/T₂ and solve for T₂. (T₂=(T₁/V₁)V₂)
since this is a gas law type question, the temperatures need to be in kelvin therefore you need to convert 15°C to kelvin. 15°C+273=288K. The volume are already in L so they don't have to be converted.
now you just need to plug everything in:
T₂=(288K/99L)x1200L
T₂=3491K
The answer is you need if you have a 99L of gas at 288K, you have to increase the temperature to 3491K to get a volume of 1200L if the pressure remains constant.

I hope this helps. Let me know in the comments if anything is unclear.