Calculate the Volume at this pressure.

In summary, the formula for calculating volume at a given pressure is V = nRT/P, where V is the volume, n is the number of moles of gas, R is the gas constant, T is the temperature in Kelvin, and P is the pressure. Pressure is an essential component in the calculation of volume and is needed in the formula V = nRT/P. In general, as pressure increases, the volume of a gas decreases, and as pressure decreases, the volume increases. However, in certain situations, volume and pressure can be directly proportional, known as Charles's Law. To measure volume at a certain pressure experimentally, instruments such as Boyle's Law apparatus, manometers, and barometers can be used to accurately measure
  • #1
wildleaf
25
0

Homework Statement


One cubic metre of water is placed under an absolute pressure of 7000 kPa. Calculate the volume at this pressure.


Homework Equations


E = - dp / (dV/V)


The Attempt at a Solution



The answer is .99682 but I do not know how to get it. I believe that it has to do with Compressibility and Elasticity.
 
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  • #2
Hint:

Solve the differential equation you have (relevant equation). E is the bulk modulus which is 2.2 gigaPa.
 

FAQ: Calculate the Volume at this pressure.

What is the formula for calculating volume at a given pressure?

The formula for calculating volume at a given pressure is V = nRT/P, where V is the volume, n is the number of moles of gas, R is the gas constant, T is the temperature in Kelvin, and P is the pressure.

Can volume be calculated without knowing the pressure?

No, volume cannot be calculated without knowing the pressure. Pressure is an essential component in the calculation of volume and is needed in the formula V = nRT/P.

How does pressure affect the volume of a gas?

In general, as pressure increases, the volume of a gas decreases. This is known as Boyle's Law. As pressure decreases, the volume of a gas increases. This relationship between pressure and volume is known as an inverse relationship.

Can volume and pressure be directly proportional?

Yes, volume and pressure can be directly proportional in certain situations. This is known as Charles's Law. As the temperature of a gas increases, the volume of the gas also increases, and as the temperature decreases, the volume decreases, while the pressure remains constant.

How can volume at a certain pressure be measured experimentally?

Volume at a certain pressure can be measured experimentally using various methods such as Boyle's Law apparatus, manometers, and barometers. These instruments measure the changes in volume as pressure is applied and can provide accurate measurements of volume at a given pressure.

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