If a gas in a balloon occupies 2.25 L at 298 K and 300 kPa, the temperature at which the balloon expand to 3.50L and 2.17 atm is 345.23K.
How to calculate temperature?
The temperature of an ideal gas can be calculated using the following formula:
P1V1/T1 = P2V2/T2
Where;
- P1 = initial pressure
- P2 = final pressure
- V1 = initial volume
- V2 = final volume
- T1 = initial temperature
- T2 = final temperature
According to the information given in this question;
- P1 = 300kpa = 2.96 atm
- P2 = 2.17 atm
- V1 = 2.25L
- V2 = 3.50L
- T1 = 298K
- T2 = ?
2.96 × 2.25/298 = 2.17 × 3.5/T2
0.022T2 = 7.595
T2 = 7.595 ÷ 0.022
T2 = 345.23K
Therefore, if a gas in a balloon occupies 2.25 L at 298 K and 300 kPa. the temperature at which the balloon expand to 3.50L and 2.17 atm is 345.23K.
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