Pressure versus temperature graph of an ideal gas is shown in figure. Density of the gas at point A is `rho_(0)`. Density at B will be

Options

A. ` ( 3 ) / (4 ) rho _ 0 `
B. ` ( 3 ) / ( 2 ) rho _ 0 `
C. ` (4 ) / ( 3 ) rho _ 0 `
D. ` 2 rho _ 0 `

Answer

B

Explanation

` rho = ( P M) / ( RT ) or rho prop( P ) /( T ) `
`(( P ) /(T)) _ A = ( P _ 0 ) /( T _ 0 ) and ( ( P )/ ( T )) _ B = ( 3 ) /( 2 ) (( P _ 0 ) /( T _ 0)) `
`(( P ) /(T) ) _ B= ( 3 ) / ( 2 ) ((P ) /( T ) ) _ A `
` therefore rho _ B = ( 3 ) /( 2 ) P _ A = ( 3 ) /( 2 ) rho _ 0 `