A carnot engine absorbs heat from a reservoir maintained at temperature 1000K. The engine rejects heat to a reservoir whose temperature is T. If the magnitude of a absorbed heat is 400J and work performed is 300J, then the value of T is

Options

A. 250K
B. 500K
C. 750K
D. 1750K

Answer

A

Explanation

Thermal efficiency of Carnot.s engine is
`eta = (W)/(Q_(1)) = 1 - (T_(2))/(T_(1))`
Here, W = 300J, `Q_(1) = 400J, T_(1) = 1000 K, T_(2) = T`
`rArr (300)/(400) = 1 - (T)/(1000)`
`rArr (T)/(1000) = 1 - (3)/(4) = (1)/(4) rArr T = (1000)/(4) = 250K`