15 L of gas at STP is subjected to four different conditions of temperature and pressure as shown below. In which case the volume will remain unaffected?

Options

A. 273 K, 2 bar pressure
B. `273^(@)C`,0.5 atm pressure
C. `546^(@)`C, 1.5 atm pressure
D. `273^(@)`C and 2 atm pressure

Answer

D

Explanation

`V_(1) = 15 L , P_(1) = 1` atm `T_(1) = 0^(@) C ` or 273.15 K , `P_(2) =2` atm , `T_(2) = 273^(@) C`or 546.15 K
`V_(2) = ? ` `therefore V_(2) = (P_(1) V_(1))/(T_(1)) xx (T_(2))/(P_(2)) = (1 xx 15)/(273.15) xx (546.15)/(2) = 15 L`