The work done by (or on ) a gas per mole per kelvin is called

Options

A. Universal gas constant
B. Boltizmann's constant
C. Gravitational constant
D. Entropy

Explanation

To solve the question "The work done by (or on) a gas per mole per kelvin is called," we can follow these steps:

### Step 1: Understand the Concept of Work Done by Gas
The work done by a gas during expansion or compression can be expressed mathematically as \( W = P \Delta V \), where \( P \) is the pressure and \( \Delta V \) is the change in volume.

### Step 2: Relate Work Done to the Ideal Gas Law
We know the ideal gas law is given by the equation:
\[ PV = nRT \]
where:
- \( P \) = pressure of the gas
- \( V \) = volume of the gas
- \( n \) = number of moles of the gas
- \( R \) = universal gas constant
- \( T \) = temperature in Kelvin

### Step 3: Work Done per Mole per Kelvin
To find the work done per mole per Kelvin, we can rearrange the ideal gas law. The work done \( W \) can be expressed in terms of \( R \) when we consider one mole of gas:
\[ W = P \Delta V = nRT \]
For one mole of gas (\( n = 1 \)):
\[ W = RT \]

### Step 4: Work Done per Mole per Kelvin
To find the work done per mole per Kelvin, we divide the work done by the temperature \( T \):
\[ \text{Work done per mole per Kelvin} = \frac{W}{T} = \frac{RT}{T} = R \]

### Conclusion
Thus, the work done by (or on) a gas per mole per Kelvin is called the **universal gas constant \( R \)**.

### Final Answer
The work done by (or on) a gas per mole per kelvin is called **R (Universal Gas Constant)**.

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