Calculating Mass of Liquid in Vat

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In summary, the conversation discusses calculating the mass of a liquid in a vat using the equation for pressure and the relationship between mass and weight. The attempt at a solution involves finding the area of the vat, converting pressure to kPa, and then using the equation for force to calculate mass. However, the attempt at a solution has an error in the equation for force, as the acceleration due to gravity should be on the right side of the equation.
  • #1
benedict9999
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Homework Statement
A 1.60 m-diameter vat of liquid is 2.30 m deep. The pressure at the bottom of the vat is 1.20 atm. What is the mass of the liquid in the vat in Kg?


The attempt at a solution
A= pi*r^2 = pi (0.8)^2 = 2.01 m^2

2.01m^2 x 20.260 kPa = 40.7226

40.7226 x 9.8 = 399kg

and i got it wrong :(
 
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  • #2
benedict9999 said:
The attempt at a solution
A= pi*r^2 = pi (0.8)^2 = 2.01 m^2

2.01m^2 x 20.260 kPa = 40.7226

40.7226 x 9.8 = 399kg

and i got it wrong :(

You're very close. What is the equation relating mass and weight?

p.s. Welcome to Physics Forums.
 
  • #3
Hi benedict9999! :smile:
benedict9999 said:
A 1.60 m-diameter vat of liquid is 2.30 m deep. The pressure at the bottom of the vat is 1.20 atm. What is the mass of the liquid in the vat in Kg?

40.7226 x 9.8 = 399kg

and i got it wrong :(

Force = mass times acceleration,

so why is your g on the left? :wink:
 

1. How do you calculate the mass of liquid in a vat?

The mass of liquid in a vat can be calculated by multiplying the density of the liquid by the volume of the vat. The formula is Mass = Density x Volume.

2. What is the unit of measurement for mass in this calculation?

The unit of measurement for mass in this calculation is typically kilograms (kg) or grams (g), depending on the size of the vat and the amount of liquid being measured.

3. Do you need to know the density of the liquid to calculate the mass?

Yes, the density of the liquid is a crucial factor in calculating the mass. The density can usually be found on the label of the liquid or by consulting a reference table.

4. Can you use this calculation for any type of liquid?

Yes, this calculation can be used for any type of liquid as long as you have the accurate density and volume measurements.

5. Is there a specific formula for calculating the mass of liquid in a vat?

Yes, the formula for calculating the mass of liquid in a vat is Mass = Density x Volume. It is important to use the correct units of measurement for density and volume in order to get an accurate result.

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