Question

A gas has a volume of 3.07 L at 0 ∘C. What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if n and P do not change? Express your answer to three significant figures in degrees Celsius.

1.66 L
1180 mL
10.4 L
40.3 mL
A scuba diver 40 ft below the ocean surface inhales 55.0 mL of compressed air from a scuba tank at a pressure of 3.00 atm and a temperature of 8 ∘C.
What is the pressure of the air, in atm, in the lungs when the gas expands to 155.0 mL at a body temperature of 37 ∘C, and the amount of gas remains constant?
Express the pressure in atmospheres to three significant figures.

Answer 1

We find the resulting temperatures -89.9 °C, -173 °C, 241 °C, -190 °C and pressure 2.64 atm using ideal gas laws, assuming constant pressure for temperature computations, and constant temperature for pressure computations.

Step-by-step explanation:

To solve these problems, we would use the ideal gas laws and the relation between Celsius and Kelvin which is K = °C + 273.15. Note that calculations involving temperature changes have to be done in Kelvin. Here are the answers to the individual problems: