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 \( T(K) \).
If \[ \frac{dy}{dx} + 2y \sec^2 x = 2 \sec^2 x + 3 \tan x \cdot \sec^2 x \] and
and \( f(0) = \frac{5}{4} \), then the value of \[ 12 \left( y \left( \frac{\pi}{4} \right) - \frac{1}{e^2} \right) \] equals to:
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.