Home
Class 11
CHEMISTRY
A sample of Ar vapour contains 3xx10^(4)...

A sample of Ar vapour contains `3xx10^(4)` atoms of Ar in a vacuum tube with a volume of 5 mL of `-100^(@)C`. Calculate the presure of the vapour in microtorr unit.

Text Solution

Verified by Experts

Given, `V=5mL=5xx10^(-3)L,T=273-100=173K`
and `n=("number of moles")/("Avogadro's number")=(3xx10^(4))/(6.022xx10^(23))=4.98xx10^(-20)` mol [`because` Argon is monoatomic]
`therefore P=(nRT)/(V)`
`=(4.98xx10^(-20)molxx0.0821LL*atm*mol^(-1)*K^(-1)xx173K)/(5xx10^(-3)L)`
As, 1 atm=760 torr,
`P=(1.414xx10^(-16)xx760)=1.074xx10^(-13)` torr
`=1.074xx10^(-7)` microtorr [`because` 1 torr=`10^(6)` microtorr]
Therefore, the pressure of argon vapour `=1.074xx10^(-7)` microtorr.
Promotional Banner

Topper's Solved these Questions

  • STATES OF MATTER : GASES AND LIQUIDS

    CHHAYA PUBLICATION|Exercise WARM UP EXERCISE|104 Videos

  • STATES OF MATTER : GASES AND LIQUIDS

    CHHAYA PUBLICATION|Exercise QUESTION-ANSWER ZONE FOR BOARD EXAMINATION|51 Videos

  • SOME BASIC CONCEPTS OF CHEMISTRY

    CHHAYA PUBLICATION|Exercise PRACTICE SET|13 Videos

  • STRUCTURE OF ATOM

    CHHAYA PUBLICATION|Exercise PRACTICE SET|15 Videos

Similar Questions

Explore conceptually related problems

A sample of a pure compound contains 2.04 g of Na, 2.65 xx 10^22 atoms of C and 0.132 mole of oxygen atoms. Find the empirical formula of the compound.

An electronic vaccum tube is constructed and sealed at 27^@C and 1.2 times 10^-6 cm Hg pressure. The tube has a volume of 100 cm^3 . Calculate the number of gas molecules left in the tube.Avogadro number is 6.02 times 10^23 , and the gas occupies a volume of 22.4 litre at STP.

Two liquids X and Y on mixing form an ideal solution. At 30^@C , the vapour pressure of the solution containing 3 mol of X and 1 mol of Y is 550 mm Hg. But when 4 mol of X and 1 mol of Y are mixed, the vapour pressure of the solution thus formed is 560 mm Hg. What would be the vapour pressure of pure X and Y at this temperature?

Combustion of 1 volume of a compound (contains of C, H and N) in air produces 3 volumes of CO_(2) and 4.5 volumes water vapour and 0.5 volume of N_(2) . Calculate the molecular formula of the compound. [all volumes are measured at same temperature and pressure].

10 g of a sample of Ca(OH)_2 is dissolved in 10 mL of 0.5 N HCL solution . The excess of HCl was titrated with 0.2 N NaOH. The volume of NaOH used was 10 cc. Calculate the percentage of Ca(OH)_2 in the sample.

Compressibility of an oil is 20 times 10^-6 atm^-1 . A hydraulic press contains 0.5 m^3 of this oil. What will be the decrease in volume of oil if a pressure of 100 standard atmosphere is applied on it?

An element A crystallises in fcc structure. 200 g of this element has 4.12xx10^(24) atoms. If the density of A is 7.2"g cm"^(-3) , calculate the edge length of the unit cell.

A sample of vitamic C is known to contain 1.29 xx10^(24) hyrogen atom. How many moles of hydrogen atoms does the sample contain?

The degree of dissociation of Ca(NO_3)_2 in a dilute aqueous solution, containing 7.0g of salt per 100 g of water at 100° C is 70%. It the vapour pressure of water at 100°C is 760 mm Hg, calculate the vapour pressure of the solution.

The degree of dissociation of Ca(NO_3)_2 in a dilute aqueous solution, containing 7.0g of salt per 100 g of water at 100° C is 70%. It the vapour pressure of water at 100°C is 760 mm Hg, calculate the vapour pressure of the solution.