An open (to atmosphere), rigid-walled cylindrical tank contains 20 L of water at 40°C. Over a 2-hour period of time the water temperature varies from 40°C to 80°C. Ignoring water lost to evaporation, the volume in the tank will change as stated below:
Question
An open (to atmosphere), rigid-walled cylindrical tank contains 20 L of water at 40°C. Over a 2-hour period of time the water temperature varies from 40°C to 80°C. Ignoring water lost to evaporation, the volume in the tank will change as stated below:
Solution 1
The volume of the water in the tank will not change significantly. This is because water is nearly incompressible, meaning its volume does not change much with temperature. While there is a slight expansion of water when heated, the change in volume from 40°C to 80°C is minimal and often considered negligible in many applications. Therefore, even though the water's temperature increases, the volume of the water in the tank will remain approximately 20 L.
Solution 2
The volume of the water in the tank will not change significantly. This is because water is nearly incompressible, meaning its volume does not change much with temperature. While there is a slight increase in volume as water heats up, this is usually negligible in most practical applications. Therefore, even though the water temperature in the tank increases from 40°C to 80°C, the volume of the water will remain approximately 20 L.
Similar Questions
A 100 liter water tank is filled to the brim with water when the temperature is 5.00°C. Water has a coefficient of volume expansion of 207 × 10−6/°C. If the temperature of the water tank is increased to 60.0°C, what is the volume of water that overflows the tank (ignore the expansion of the tank)?
An industrial cylindrical water tank has a radius of r meters and a height of h meters, where h is twice the radius. When the tank is full, its water level decreases at a rate of 0.25 meters per hour due to usage. After 4 hours of usage, what is the volume of water remaining in the tank in terms of r?
A large open tank has two holes in the wall. One is a square hole of side L at a depth ‘y’ from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then R = (Assume R and L << y)
A rectangular water tank measures 2.5m long, 2.4m wide and 2.1m high. The tank contained some water up to a height of 1.21m.An inlet pipe was opened and water let to flow into the tank at a rate of 8 litres per minute. After one hour, a drain pipe was opened and water allowed to flow out of the tank at a rate of 6 litres per minute.Calculatei. The height of water in tank after 3 hours.ii. The total time taken to fill up the tank.
An overhead tank is in the shape of a cylinder (radius 60 cm, height 95 cm). Water is supplied to it from an underground tank, which is in the shape of a cuboid with dimensions 1.57 m x 1.44 m x 95 cm and is initially full. Find the volume of water left in the underground tank after the overhead tank has been completely filled.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.