# 1 L of water at 20degrees Celsius will occupy what volume at 80 degrees Celsius? Water has a volume expansion coefficient of 210x10^-6/degree Celsius.Multiple Choice: A) 1.6 L B) 1.013 L C) 0.987...

1 L of water at 20degrees Celsius will occupy what volume at 80 degrees Celsius? Water has a volume expansion coefficient of 210x10^-6/degree Celsius.

Multiple Choice:

A) 1.6 L

B) 1.013 L

C) 0.987 L

D) 0.9987 L

neela | High School Teacher | (Level 3) Valedictorian

Posted on

For every raise in degree of temperature, water will expand by the coefficient of volume expansion times the initial volume.

At 20 degree the volume of water = 1 liter

At 80 degree the raise in temperature = 80-20 = 60 C

Therefore, the expanded volume of water.1 liter + 1 liter*coefficient of volume expansion of water * raise in temperature

=1liter + 1liter*210*10^-6* 60

= 1.0126 liter.

=

krishna-agrawala | College Teacher | (Level 3) Valedictorian

Posted on

Given:

Initial volume of water = v = 1 L

Initial temperature = t = 20 degree C

Final temperature = t' = 80 degree C

Volume expansion coefficient = E = 210*10^-6

Let v' be the temperature at final temperature t'

Then v' is given by the formula:

v' = v[(1 + (t' - t)*E] = 1 + (80 - 20)*(210*10^-6)

= 1 + 126*10^-4 = 1 + 0.0126 = 1.0126 L

= 1.013 L (Rounding off to the third decimal place)

The water will occupy 1.013 L at 80 degree C. Therefore option B) in the given choices is correct.