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(1)/(2) mole of helium is contained in...

`(1)/(2)` mole of helium is contained in a container at STP . How much heat energy is needed to double the pressure of the gas keeping the volume contant ? Heat capacity of gas is `3 J g^(-1) K^(-1)`

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Number of mole of helium contained in a container n`= (1)/(2) ` mole
Heat capacity of gas `C_(v ) = 3 J g ^(-1) k^(-1)`
Molecular mass of helium `M = 4`
`:. C_(v ) = MC_(v) = 4xx 3 rArr C_(v) = 12 j // mol .K`
`:. , (P_(2))/(P_(1)) = (T_(2))/(T_(1)) = 2`
`Delta T = 2T_(1) - T_(1) = 273 k`
`Delta Q = ._(n) C_(v ) Delta T = (1)/(2) xx 12 xx 273 =1638 J`
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