Question

A sample of gas in a balloon has an initial temperature of 33 ∘C and a volume of 1650 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?

What Celsius temperature, T2 , is required to change the volume of the gas sample in Part A (T1 = 33 ∘C , V1 = 1650 L ) to a volume of 3300 L ? Assume no change in pressure or the amount of gas in the balloon.

Answer 1

1)

we have:

V1 = 1650 L

T1 = 33.0 oC

= (33.0+273) K

= 306 K

T2 = 81.0 oC

= (81.0+273) K

= 354 K

we have below equation to be used:

V1/T1 = V2/T2

1650 L / 306.0 K = V2 / 354.0 K

V2 = 1909 L

Answer: 1909 L

2)

we have:

T1 = 33.0 oC

= (33.0+273) K

= 306 K

V1 = 1650 L

V2 = 3300 L

we have below equation to be used:

V1/T1 = V2/T2

1650.0 L / 306.0 K = 3300.0 L / T2

T2 = 612 K

T2 = 339 oC

Answer: 339 oC