Question 353: Properties of Matter

Question

The density of water at 20oC is 998 kg/m3 and at 40oC is 992 kg/m3. The coefficient of volume expansion of water is

Accepted Answer

From question,
$$\Delta ho $$ = (998 Ã¢ÂÂ 992) kg/m
3
= 6 kg/m
3
$$ho  = {{998 + 992} \over 2}kg/{m^3} = 995\,kg/{m^3}$$
$$ho  = {m \over v}$$
$$ \Rightarrow {{\Delta ho } \over ho } =  - {{\Delta V} \over V} \Rightarrow \left| {{{\Delta ho } \over ho }} ight| = \left| {{{\Delta V} \over V}} ight|$$
$$ 	herefore $$ Coefficient of volume expansion of water,
$${1 \over V}{{\Delta V} \over {\Delta t}} = {1 \over ho }{{\Delta ho } \over {\Delta t}} = {6 \over {995 	imes 20}} \approx 3 	imes {10^{ - 4}}{/^o}C$$

Answer

3 $$ 	imes $$ 10$$-$$4/oC

Answer

2 $$ 	imes $$ 10$$-$$4/oC

Answer

6 $$ 	imes $$ 10$$-$$4/oC

Answer

10 $$ 	imes $$ 10$$-$$4/oC

Properties of Matter

The density of water at 20oC is 998 kg/m3 and at 40oC is 992 kg/m3. The coefficient of volume expansion of water is

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