A measuring cylinder made of glass has a volume of 200 mL when measured at 20°C....

A measuring cylinder made of glass has a volume of 200 mL when measured at 20°C. Mercury, also at 20°C, is added to the measuring cylinder until the mercury level reads 197 mL on the measuring cylinder scale. The mercury and glass are then warmed until the mercury level reads 200 mL on the measuring cylinder scale. Taking the coefficients of volume expansion of glass to be 2.0 × 10^-5 K^-1 and for mercury to be 18 × 10^-5 K^-1, what is the final temperature?

Solutions

Expert Solution

Note that the coefficient of volume expansion of glass is much smaller than that of mercury. So, it is a good approximation to ignore changes in the measuring cylinder and find the final temperature by considering the expansion of only mercury. With this approximation we need to find the increase in temperature so that the volume of mercury increases from 197 mL to 200 mL.

Change in volume of mercury is

Coefficient of volume expansion is fractional change in the volume per unit change in the temperature. So,

Therefore

The value of in is same as the value of in Kelvin .

Therefore, final temperature is about 104.6 degree Centigrade.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

a. What is the rate of flow in mL/s when the volume in the cylinder is...

a. What is the rate of flow in mL/s when the volume in the cylinder is 1500mL? b. Using the following data, estimate how long it would take for the tank to empty from 2500mL to 2000mL. c. Is the amount of time longer that it takes to empty from 2000mL to 1500mL? Please explain and show working out. Time (s) Volume (mL) 0 2000 4.3 1900 9.5 1800 13.7 1700 18.5 1600 23.2 1500 28.2 1400 34.7 1300 40.4...

The volume of a glass bottle is 500.00 ml at 18 ◦C and the longitudinal coefficient...

The volume of a glass bottle is 500.00 ml at 18 ◦C and the longitudinal coefficient of expansion of the glass are 8.0*10−6 1 / ◦C. Benzene has a density of 0.880 g / cm3 at 20 ◦C and its volume expansion coefficient is 1.2 * 10−3 1 / ◦C. How much benzene mass (with 4 values) is contained in the above-mentioned glass bottle at 28 ◦C? (Answer 435.9 g)

A piston-cylinder arrangement containing steam at 200 kPa and 200°C is cooled at a constant volume...

A piston-cylinder arrangement containing steam at 200 kPa and 200°C is cooled at a constant volume of 0.5 m3 until it reaches 140 kPa. (a) Calculate the amount of mass of steam in the cylinder (kg) (b) Find the quality (x) of the steam once it reaches 140 kPa Then the piston is allowed to float freely (maintaining a constant pressure, but changing volume), while 50% of the steam is released from the piston. Once the release is done, you...

a sample of nitrogen occupies a volume of 200 ml at 60°C and 500 mmHg of...

a sample of nitrogen occupies a volume of 200 ml at 60°C and 500 mmHg of pressure. wht will its volume be at STP

A 25 g glass tumbler contains 200 mL of water at 24°C. If two 15 g...

A 25 g glass tumbler contains 200 mL of water at 24°C. If two 15 g ice cubes each at a temperature of -3°C are dropped into the tumbler, what is the final temperature of the drink? Neglect thermal conduction between the tumbler and the room. 1°C

The volume of a sample of pure HCl gas was 277 mL at 20°C and 189...

The volume of a sample of pure HCl gas was 277 mL at 20°C and 189 mmHg. It was completely dissolved in about 70 mL of water and titrated with an NaOH solution; 16.5 mL of the NaOH solution was required to neutralize the HCl. Calculate the molarity of the NaOH solution.

(a) What is the total volume of gaseous products, measured at 350°C and 689 torr, when...

(a) What is the total volume of gaseous products, measured at 350°C and 689 torr, when an automobile engine burns 103 g of C8H18 (a typical component of gasoline)? L (b) For part (a), the source of O2 is air, which is about 78.0% N2, 21.0% O2, and 1.0% Ar by volume. Assuming all the O2 reacts, but no N2 or Ar does, what is the total volume of gaseous exhaust?

A balloon at 30.0°C has a volume of 222 mL. If the temperature is increased to 61.1°C and the pressure remains constant, what will the new volume be, in ml?

A balloon at 30.0°C has a volume of 222 mL. If the temperature is increased to 61.1°C and the pressure remains constant, what will the new volume be, in ml?Calculate the density, in g/L, of chlorine (Cl2) gas at STP.

A balloon at 30.0°C has a volume of 222 mL. If the temperature is increased to...

A balloon at 30.0°C has a volume of 222 mL. If the temperature is increased to 64.1°C and the pressure remains constant, what will the new volume be, in mL?

A flask has a volume of 159.6 mL . When filled with air at a pressure...

A flask has a volume of 159.6 mL . When filled with air at a pressure of 749.2 torr and a temperature of 25.54 ∘C, the flask and air have a mass of 55.598 g . When filled with carbon dioxide at the same temperature and pressure, the mass of the flask and CO2 is 55.699 g . What is the mass of the carbon dioxide gas in the flask (when the flask is filled with carbon dioxide)? What is...

Subjects