Equal heat is given to two objects A and...

Equal heat is given to two objects A and B of mass 1g. Temperature of A increases by `3^@C` and B by `5^@C`. Which object has more specific heat? And by what factor?

Text Solution

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Given : Heat given to A = Heat given to B
Change in Temperature of A =`DeltaT_A=3^@C`
Change in Temperature of B =`DeltaT_B=5^@C`
To Find: (i)Object with more specific heat
(ii)Change in the factor
Formula : Heat = mass of water x specific heat x change in temperature
= m x c x `Delta`T
Solution: Heat given to A =Heat given to B
`m_Axxc_AxxDeltaT_A = m_Bxxc_BxxDeltaT_B`
`1 xx c_A xx 3 = 1 xx c_B xx 5`
`3c_A=5c_B`
`c_A/c_B=5/3`
Hence , specific heat of A is greater than specific heat of B. Also , specific heat of A is greater than specific heat of B by a factor of `5/3`

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