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strojnjashka
2 months ago
13

A car tire was inflated to 82.0 kPa in a repair shop where the temperature is 26.0 °c. What is the temperature of the gas in the

tire if the pressure in the tire increases to 87.3 kPa when it is out of the repair shop?
Chemistry
1 answer:
alisha [2.9K]2 months ago
4 0

Answer: The gas in the tire, when the pressure increases to 87.3 kPa, will have a temperature of 45^0C

Explanation:

To determine the final temperature, we apply the equation derived from Gay Lussac's Law. This principle indicates that the pressure of a confined gas at constant volume is directly linked to its temperature.

In a formula:

\frac{P_1}{T_1}=\frac{P_2}{T_2}

where,

P_1\text{ and }T_1 are the starting pressure and temperature of the gas.

P_2\text{ and }T_2 indicate the final pressure and temperature of the gas.

Provided data:

P_1=82.0kPa\\T_1=26.0^oC=(26.0+273)K=299K\\P_2=87.3kPa\\T_2=?

Inserting values into the equation, we obtain:

\frac{82.0}{299}=\frac{87.3}{T_2}\\\\T_2=318K=(318-273)^0C=45^0C

Therefore, if the tire pressure rises to 87.3 kPa, the gas temperature will be 45^0C

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