Physics

Problem

Liquid A (

c_{A}=1.0\times10^{3}\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}

) and liquid B (

c_{B}=2.0\times10^{3}\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}

) each have a mass of

0.200\,\text{kg}

. Liquid A is initially at

60^{\circ}\text{C}

and liquid B at

20^{\circ}\text{C}

. After they are mixed in a well-insulated calorimeter, which statement best describes the final temperature

T_f

? a)

T_f

is exactly

40^{\circ}\text{C}

because the masses are equal. b)

T_f

is indeterminate without knowing the latent heats of the liquids. c)

T_f

is closer to

20^{\circ}\text{C}

than to

60^{\circ}\text{C}

. d)

T_f

is closer to

60^{\circ}\text{C}

than to

20^{\circ}\text{C}