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Part A A sample of gas in a balloon has an initial temperature of 37 C and a vol

ID: 921098 • Letter: P

Question

Part A

A sample of gas in a balloon has an initial temperature of 37 C and a volume of 1.89×103 L . If the temperature changes to 81 C , and there is no change of pressure or amount of gas, what is the new volume, V2, of the gas? Express your answer with the appropriate units.

Part B

What Celsius temperature, T2, is required to change the volume of the gas sample in Part A (T1 = 37 C , V1= 1.89×103 L ) to a volume of 3.78×103 L ? Assume no change in pressure or the amount of gas in the balloon. Express your answer with the appropriate units.

Explanation / Answer

A) T1 = 37C = 37+273 = 310 K , V = 1890 L ,    T2 = 81C = 81+273 = 354 K

we use PV = nRT    equation , here R is gas constant , n , P are constant since they mentioned

Hence V = constant x T

Hence V2/V1 = T2/T1   

V2 / 1890 = 354 /310

V2 = 2158 L = 2.158 x 10^3 L

B) T2/T1 = V2/V1

T2 / ( 310) = ( 3780 /1890)

T2 = 620 K = 620 - 273 = 347 C

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