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Ivanshal [37]
2 years ago
6

A 2.0 mL sample of air in a syringe exerts a pressure of 1.02 atm at 22 C. If that syringe is placed into boiling water at 100 C

and the pressure in the syringe increases to 1.27 atm, what is the new volume of the air in the syringe?
Chemistry
1 answer:
emmainna [20.7K]2 years ago
6 0

Answer: The new volume of the air in the syringe is 7.3 mL.

Explanation:

Given: V_{1} = 2.0 mL,     P_{1} = 1.02 atm,          T_{1} = 22^{o}C

V_{2} = ?,               P_{2} = 1.27 atm,               T_{2} = 100^{o}C

Formula used to calculate the new volume in syringe is as follows.

\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}

Substitute the values into above formula as follows.

\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}}\\\frac{1.02 atm \times 2.0 mL}{22^{o}C} = \frac{1.27 atm \times V_{1}}{100^{o}C}\\V_{1} = 7.3 mL

Thus, we can conclude that the new volume of the air in the syringe is 7.3 mL.

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