The new temperature of the given gas is .
Further Explanation:
An ideal gas is a hypothetical gas that is composed of a large number of randomly moving particles that are supposed to have perfectly elastic collisions among themselves. It is just a theoretical concept, and practically no such gas exists. But gases tend to behave almost ideally at a higher temperature and lower pressure.
The expression for the ideal gas equation is as follows:
…… (1)
Here, P is the pressure of gas.
V is the volume of the gas.
T is the absolute temperature of gas.
n denotes the number of moles of gas.
R is the universal gas constant.
Rearranging equation (1), we get:
For a particular gas, the number of moles (n) and the universal as constant (R) both are constants.
If a specific gas with , and as initial parameters is treated to the final parameters being , and . So equation (1) becomes
…… (2)
Here,
is the initial pressure of the gas.
is the initial volume of the gas.
is the initial temperature of the gas.
is the final pressure of the gas.
is the final volume of the gas.
is the final temperature of the gas.
Calculation of the final temperature of the gas:
Rearranging equation (2), we get:
…… (3)
Firstly, is to be converted into K. The conversion factor for this is,
So is calculated as follows:
The value of is 901 torr.
The value of is 286 mL.
The value of is 305 K.
The value of is s721 torr.
The value of is 325 mL.
Substitute these values in equation (3).
Conversion Factor:
So the value of is calculated as follows:
Learn more:
1. Law of conservation of matter states: <u>brainly.com/question/2190120
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2. Calculation of volume of gas: <u>brainly.com/question/3636135
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Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Ideal gas equation
Keywords: ideal gas, pressure, volume, absolute temperature, equation of state, hypothetical, universal gas constant, moles of gas, initial, final, K, conversion factor, 325 mL, 286 mL, 721 torr, 901 torr, 62.4 degree Celsius.