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In general gas equation, PV = nRT, V is ...

In general gas equation, `PV = nRT, V` is the volume of :

A

n moles of a gas

B

any amount of a gas

C

one mole of a gas

D

one gram of a gas.

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To solve the question regarding the general gas equation \( PV = nRT \) and specifically what \( V \) represents, we can break it down into the following steps: ### Step-by-Step Solution: 1. **Understand the General Gas Equation**: The equation \( PV = nRT \) is known as the ideal gas law. In this equation: - \( P \) represents the pressure of the gas. - \( V \) represents the volume of the gas. - \( n \) represents the number of moles of the gas. - \( R \) is the universal gas constant. - \( T \) is the temperature of the gas in Kelvin. 2. **Identify the Variable \( V \)**: In the equation, \( V \) is explicitly stated as the volume of the gas. It is the space that the gas occupies. 3. **Relate Volume to Moles**: The volume \( V \) is directly related to the number of moles \( n \) of the gas. This means that as the number of moles of gas increases, the volume also increases, assuming that pressure and temperature remain constant. 4. **Conclusion**: Therefore, in the context of the question, \( V \) represents the volume of \( n \) moles of gas. This means that the volume is dependent on the amount (number of moles) of gas present. ### Final Answer: In the general gas equation \( PV = nRT \), \( V \) is the volume of \( n \) moles of gas. ---
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