Calculate the temperature at which root mean square velocity of `N_(2)` molecules is `25%` more than that of molecules of hydrogen at `-73^(@)C`. Molecular weight of nitro-gen is `28` while that of hydrogen at is 2.
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Calculate the number of g-molecules (mole of molecules) in the following : (i) 3.2 gm `CH_(4)` (ii) 70 gm nitrogen (iii) `4.5xx10^(24)` molecules of o
(i) 3.2 gram `CH_(4)` number of moles `(CH_(4))=(w)/(M)=(3.2)/(16)=0.2` moles (ii) 70 gram `N_(2)` Number of moles `=(w)/(M)=(70)/(28)=2.5` (iii) `4.5xx10^(24)` molecules of `O_(3)` Number of moles `=("no. of molecules ")/(N_(A))=(4.5xx10^(24))/(6xx10^(23))=7.5` (iv)...
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One mole of an organic amide (A) on alkaline hydrolysis gives one mole of `NH_(3)` and one mole of a monobasic acid of equivalent mass 74. What is the
`R-overset(O)overset(||)C-NH_(2)+OH^(-)toR-overset(O)overset(||)C-O^(-)+NH_(3)` R+45=74orR=29i.e., `CH_(3)CH_(2)-` Monobsic acid=`CH_(3)CH_(2)COOH,` Mol. Mass=`CH_(3)CH_(2)CONH_(2)=73`
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Calculate de-Broglie wavelength of hydrogen molecules `(H_(2))` present in a container at `400 K`. Assume that molecules travel at rms speed. Boltzman
Correct Answer - `1.02Å`
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Calculate the energy released in the formation of 1 kg hydrogen chloride , given that the dipole moment of hydrogen chloride molecules is `3.44 xx 10^
Correct Answer - `1.65 xx 10^(6)J`
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Calculate the root mean square velocity of the molecules of hydrogen at `0^(@)C` and pressure `76cm` of Hg when the density of hydrogen at S.T.P. is `
Correct Answer - `183.8 xx 10^(3) cms^(-1)`
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The root mean square velocity of helium atoms at normal temperature and pressure is `1300 ms^(-1)`. Calculate (i) density of helium at `0^(@)C` and (i
Correct Answer - (i) `0.179 kgm^(-3)`, (ii) `6.64 xx 10^(-27) kg`
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What will be the root mean square speed of helium at `40^(@) C`, if root mean square speed of oxygen molecule at `0^(@) C` is `460 m//s` ? Molecular w
Correct Answer - `1394 ms^(-1)`
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Write the following in exponential form and redical form. (i) Cube root of 729 (ii) Fifth root of 1990 (iii) Square root of 2001 (iv) Seventh root of
Correct Answer - (i) `(729)^(1/3), root(3)(729)` (ii) `(1990)^(1/5), root(5)(1990)` (iii) `(2001)^(1/2), sqrt(2001)` (iv) `(777)^(1/7), root(7)(777)`
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(i) Simplify `(2^(2/3)-2^((-2)/3))(2^(4/3)+1+2^((-4)/3))` (ii) `[(root(6)(7))^(2)+(root(6)(7))^(-2)][(root(6)(7))^(4)-1+(root(6)(7))^(-4)]`
Correct Answer - (i) `15/4` (ii) `50/7`
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Arrange the following surds in an ascending order of magnitude: `root(3)(9),root(9)(5),root(3)(7)`
Correct Answer - `root(9)(5),root(6)(9),root(3)(7)`
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