The change in volume of a given mass of gas with the temperature is graphically represented as shown in the figure shown below. Determine the ratio of densities of the gas at `100^(@)C and 150^(@)C`.

Options

A. `(4)/(3)`
B. `(3)/(4)`
C. `(3)/(5)`
D. `(1)/(3)`

Answer

A

Explanation

Density `=("mass")/("volume")`
`=(d_(1))/(d_(2))=(v1)/((m2)/(v2))=(v_(2))/(v_(1))=(40)/(30)=(4)/(3)`
Hence the correct option is (b).