A mass m 1 of a substance of specific heat capacity c 1 at temperature t 1 is mixed with a mass m 2 of other substance of specific heat capacity c 2 at a lower temperature t 2 . Deduce the expression for the temperature t of the mixture. State the assumption made, if any.

Let a substance A of mass m 1 , specific heat capacity c 1 at temperature t 1 is mixed with another substance B of mass m 2 , specific heat capacity c 2 at a lower temperature t 2 . If the final temperature of the mixture becomes t, then Fall in temperature of substance A = t 1 – t Rise in temperature of substance B = t – t 2 Heat energy lost by A = m 1 × c 1 × fall in temperature = m 1 c 1 (t 1 – t) Heat energy gained by B = m 2 × c 2 × rise in temperature = m 2 c 2 (t – t 2 ) If no heat energy is lost in the surrounding, then by the principle of mixtures, Heat energy lost by A = Heat energy gained by B m 1 c 1 (t 1 – t) = m 2 c 2 (t – t 2 ) m 1 c 1 t 1 - m 1 c 1 t = m 2 c 2 t - m 2 c 2 t 2 m 1 c 1 t 1 + m 2 c 2 t 2 = m 1 c 1 t + m 2 c 2 t m 1 c 1 t 1 + m 2 c 2 t 2 = t (m 1 c 1 + m 2 c 2 ) Therefore, The assumption made here is that there is no loss of heat energy.

Physics

A mass m₁ of a substance of specific heat capacity c₁ at temperature t₁ is mixed with a mass m₂ of other substance of specific heat capacity c₂ at a lower temperature t₂. Deduce the expression for the temperature t of the mixture. State the assumption made, if any.

Calorimetry

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Physics

A mass m₁ of a substance of specific heat capacity c₁ at temperature t₁ is mixed with a mass m₂ of other substance of specific heat capacity c₂ at a lower temperature t₂. Deduce the expression for the temperature t of the mixture. State the assumption made, if any.

Calorimetry

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Physics

A mass m1 of a substance of specific heat capacity c1 at temperature t1 is mixed with a mass m2 of other substance of specific heat capacity c2 at a lower temperature t2. Deduce the expression for the temperature t of the mixture. State the assumption made, if any.

Calorimetry

Related Questions

What property of water makes it an effective coolant?

Why the base of a cooking pan made thick and heavy?

Discuss the role of high specific heat capacity of water with reference to climate in coastal areas.

A mass m₁ of a substance of specific heat capacity c₁ at temperature t₁ is mixed with a mass m₂ of other substance of specific heat capacity c₂ at a lower temperature t₂. Deduce the expression for the temperature t of the mixture. State the assumption made, if any.