A large vat contains 1.000 L of water at $20 ^ { \circ } \mathrm { C }$ What volume will this water occupy when it is heated up to $80 ^ { \circ } \mathrm { C } ?$ Water has a volume expansion coefficient of $210 \times 10 ^ { - 6 } K ^ { - 1 }$
A) 0.987 L
B) 1.600 L
C) 1.013 L
D) 0.9987 L

Question

A large vat contains  1.000 L of water at $20 ^ { \circ } \mathrm { C }$ What volume will this water occupy when it is heated up to $80 ^ { \circ } \mathrm { C } ?$ Water has a volume expansion coefficient of $210 \times 10 ^ { - 6 } K ^ { - 1 }$
A)  0.987 L
B)  1.600 L
C)  1.013 L
D)  0.9987 L

Quizplus · Accepted Answer

The volume expansion of water can be calculated using the formula: $V = V_0 (1 + \beta \Delta T)$, where $V_0$ is the initial volume, $\beta$ is the volume expansion coefficient, and $\Delta T$ is the change in temperature. Substituting the given values: $1.000 L (1 + 210 \times 10^{-6} K^{-1} \times (80 ^{\circ}C - 20 ^{\circ}C)) = 1.000 L (1 + 210 \times 10^{-6} \times 60) = 1.000 L (1 + 0.0126) = 1.013 L.$

A Large Vat Contains 1 20∘C20 ^ { \circ } \mathrm { C }20∘C

A Large Vat Contains 1 $20 ^ { \circ } \mathrm { C }$