The bulk modulus of water is B=2.2 ×10^9 N / m^2 . What change in pressure ΔP (in atmospheres) i

step 1 Hi friends this is the problem based on concept of volumetric expansion of the substance data v

The bulk modulus of water is B=2.2 ×10^9 N / m^2 . What...

The bulk modulus of water is $B=2.2 \times 10^{9} \mathrm{N} / \mathrm{m}^{2} .$ What change in pressure $\Delta P$ (in atmospheres) is required to keep water from expanding when it is heated from 15 to $25^{\circ} \mathrm{C} ?$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Bulk Modulus

Bulk modulus is a measure of a substance's resistance to uniform compression. It quantifies how much pressure is needed to cause a certain fractional decrease in volume and is defined as the ratio of pressure change to the relative change in volume. This concept is crucial when determining the additional pressure required to counteract thermal expansion in a liquid.

Coefficient of Thermal Expansion

The coefficient of thermal expansion represents the fractional change in volume (or length) of a material per degree change in temperature. It is essential for understanding how much a substance like water expands when heated. This concept allows us to relate a change in temperature to a change in volume, which can then be balanced by an appropriate pressure change using the bulk modulus.

Pressure Conversion

Pressure conversion involves translating between different units of pressure, such as converting Pascals (N/m²) to atmospheres. Recognizing that 1 atm is approximately 1.01×10^5 N/m² is important for expressing the final result in the desired units. This step ensures that the computed pressure change is correctly communicated in familiar and practical terms.

Transcript

Please give Ace some feedback