One mole of a diatomic gas is heated under a "kibolinsky process" in which gas pressure is temperature controlled according to law `P=(4)/(5)CT^(3//2)`. Where `C` is kibolinsky constant. In this process, gas is heated by `300K` temperature. Answer the following questions.
The amount of workdonw by gas under above heating is:

Options

A. `600R`
B. `750R`
C. `-150R`
D. None of these

Explanation

To find the amount of work done by the gas during the heating process, we can follow these steps:

### Step 1: Understand the Process
The given process is described by the equation \( P = \frac{4}{5} C T^{3/2} \), where \( C \) is a constant. We are also given that the gas is heated by \( 300 \, K \).

### Step 2: Use the Ideal Gas Law
From the ideal gas law, we know that:
\[
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