Step 1: Write the given data
Step 2: Apply Boyle's Law
Boyle's law states that:
\[ P_{\text{initial}} \cdot V_{\text{initial}} = P_{\text{final}} \cdot V_{\text{final}}. \] Substitute the given values: \[ 940.3 \times 100 = P_{\text{final}} \times 60. \] Solving for \( P_{\text{final}} \): \[ P_{\text{final}} = \frac{940.3 \times 100}{60} = 1567.16 \, \text{mm Hg}. \]
Step 3: Round to the nearest integer \[ P_{\text{final}} = 1567 \, \text{mm Hg}. \]
Final Answer:
The pressure at which the volume decreases by 40% is \( P_{\text{final}} = 1567 \, \text{mm Hg}. \)
Two statements are given below: Statement-I: The ratio of the molar volume of a gas to that of an ideal gas at constant temperature and pressure is called the compressibility factor.
Statement-II: The RMS velocity of a gas is directly proportional to the square root of \( T(K) \).
The gas laws were developed at the end of the 18th century, when scientists began to realize that relationships between pressure, volume and temperature of a sample of gas could be obtained which would hold to approximation for all gases.