need help with part b of question I already know the answer to the first one A s

Question

need help with part b of question I already know the answer to the first one A sample of gas in a balloon has an initial temperature of 44 C and a volume of 1500 L . If the temperature changes to 56 C , and there is no change of pressure or amount of gas, what is the new volume, V2, of the gas? I know the answer is 1560 L the second one has me confused which is What Celsius temperature, T2, is required to change the volume of the gas sample in Part A (T1 = 44 C , V1= 1500 L ) to a volume of 3000 L ? Assume no change in pressure or the amount of gas in the balloon. Express the temperature numerically in degrees Celsius.

Explanation / Answer

T1 = 44 = 317

V1 = 1500 L

T2 = ???

V2 = 3000

Apply ideal gas law ratios:

V1/T1 = V2/T2

always valid in ideal gas

so

V1/T1 = V2/T2

T2 = V2/V1*T1

T2 = (3000/1500)*317 = 2*317 = 634 K

Note that there is a 2x increase of T since Vf = 2 Vi

then

T = 634 K = 361 °C

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