If 15.0 liters of neon at 35.0 °C is allowed to expand to 50.0 liters, what must the new temperature

be to maintain constant pressure?

1,026.7K

116.7 K

10.5K

92.4K

Option A. 1026.7K

Explanation:

The following data were obtained from the question:

Initial Volume (V1) = 15L

Initial Temperature (T1) = 35°C = 35°C + 273 = 308K

Final volume (V2) = 50L

Final temperature (T2) = ... ?

Maintaining constant pressure implies that the gas is obeying Charles' law.

Using the Charles' law equation, the new temperature of the gas can be obtained as follow:

V1/T1 = V2/T2

15/308 = 50/T2

Cross multiply to express in linear form

15 x T2 = 308 x 50

Divide both side by 15

T2 = (308 x 50) / 15

T2 = 1026.7K

Therefore, the new temperature of the gas is 1026.7K