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TS EAMCET · Chemistry · States of Matter

A gas is present at a pressure of \(2 \mathrm{~atm}\). What should be the increase in pressure, so that the volume of the gas can be decreased to \(\frac{1}{4}\) th of the initial volume at constant 4 temperature?

  1. A \(0.5 \mathrm{~atm}\)
  2. B \(2 \mathrm{~atm}\)
  3. C \(4 \mathrm{~atm}\)
  4. D \(8 \mathrm{~atm}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(8 \mathrm{~atm}\)

Step-by-step Solution

Detailed explanation

(d) Given, initial pressure \(=2 \mathrm{~atm}\) Final volume \(=\frac{1}{4}\) th of initial volume \((V)\) Let, initial volume \(=V\) then, final volume \(=\frac{V}{4}(\) at constant temperature \()\) \(\because\) Final pressure \(=p_2\) (to find \()\) \(V_1 p_1=V_2 p_2\)…