A iron block at is quickly placed in an insulated container holding of water at

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

0.25\,\text{kg}

iron block at

500\,\text{K}

is quickly placed in an insulated container holding

0.50\,\text{kg}

of water at

300\,\text{K}

. The specific heat capacities are

c_{\!\text{iron}} = 450\,\text{J\,kg}^{-1}\!\text{K}^{-1}

and

c_{\!\text{water}} = 4180\,\text{J\,kg}^{-1}\!\text{K}^{-1}

. Neglecting any energy exchange with the container or surroundings, calculate the equilibrium temperature of the iron–water system. (a)

319\,\text{K}

(b)

310\,\text{K}

(c)

335\,\text{K}

(d)

303\,\text{K}