A 100 Liter Water Bottle Is Filled to the Brim with with Water

Multiple Choice

A 10.0 liter water bottle is filled to the brim with water when the temperature is $5.00^{\circ} \mathrm{C}$ . The bottle is sealed after it is completely filled with water. Water has a coefficient of volume expansion of $207 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ and a bulk modulus of $2.20 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$ . If the temperature of the water tank is increased to $30.0^{\circ} \mathrm{C}$ , what is the increase in pressure of the water (ignore the expansion of the bottle) ?

A) $2.73 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$
B) $1.75 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$
C) $1.14 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$
D) $2.01 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$
E) $1.01 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$