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The density of gas at 27°C and 1 atm is ...

The density of gas at 27°C and 1 atm is d. Pressure remaining constant at which of the following temp will its density become 0.75d?

A

`20^(@)C`

B

`30^(@)C`

C

`400K`

D

`300K`

Text Solution

Verified by Experts

The correct Answer is:
C
`d_(1)= d, d_(2)= 0.75d, P_(1)= 1 atm, T_(1)= 27^(@)C= 300 K, P_(2)= 1 atm, T_(2)= ?`
`((d_1)/(d_2))=(P_(1)xx T_(2))/(T_(1)xx P_(2))" or "(T_2)/(T_1)`
`therefore T_(2)= (d_1)/(d_2)xx T_(1)= (d)/(0.75d)xx 300= 400K`.
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