The figure shows the graph of `(pV)/(T )` versus p for `2xx 10^(-4)` kg of hydrogen gas at two different temperatures, where p,V andT represents pressure, volume and temperature respectively. Then, the value of `(pV)/(T )` where the curve meet on the vertical axis, is

Options

A. `(R )/(5)`
B. `(2R)/(3)`
C. `(R )/(10)`
D. `(R )/(15)`

Answer

A

Explanation

Number of moles in `2xx 10^(-4) `kg
`mu = ("mass of hydrogen in gram")/("Molecules mass") `
`= (2xx10^(-4)xx10^(3))/(2)`
`=0.1 ` mole
`:. pV = mu RT`
`(pV)/(T ) = mu R = 0.1 xx R = ( R)/(10)`