Chemistry, 04.04.2020 06:46 brendariobranco

If the absolute temperature of a gas is doubled, what happens to the root‑mean‑square speed of the molecules? Nothing happens to the rms speed. The new rms speed is 4 times the original rms speed. The new rms speed is 2 times the original rms speed. The new rms speed is 1.414 times the original rms speed. The new rms speed is 1/2 the original rms speed.

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Answer from: tzartiger12

If the absolute temperature of a gas is doubled ; ( D ) The new rms speed is 1.414 times the original rms speed

The r.m.s speed of molecules in a gas can be calculated using the formula below ;

$v = \sqrt{\frac{3RT}{M} }$

T = absolute temperature

R = gas constant

M = molar mass

Also ; The rms speed of gas molecules is directly proportional to $\sqrt{T}$

i.e. v ∝ √T ----- ( 1 )

Given that the absolute temperature ( T ) is doubled the new value of T = 2T

Back to equation ( 1 )

v = √2T = √2 * √T

= 1.414

Hence we can conclude that If the absolute temperature of a gas is doubled The new rms speed is 1.414 times the original rms speed.

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Answer from: girlysimbelieve

The new rms speed is 1.414 times the original rms speed

Explanation:

The rms speed (root-mean-square speed) of the molecules in a gas can be found by using the formula:

$v=\sqrt{\frac{3RT}{M}}$

where

R is the gas constant

T is the absoolute temperature (in Kelvin) of the gas

M is the molar mass of the gas (the amount of mass per unit mole)

We can rewrite the equation as

$v\propto \sqrt{T}$ (1)

which means that the rms speed is proportional to the square root of the temperature.

In this problem, we are told that the absolute temperature of the gas is doubled, so the new temperature is

T'=2T

Therefore, according to eq(1), we find that the new rms speed will be:

$v\propto \sqrt{T'} = \sqrt{2T}=\sqrt{2} \sqrt{T}=\sqrt{2}v=1.414v$

So,

The new rms speed is 1.414 times the original rms speed

Answer from: Quest

Non metal is an element or substance that is not a metal metal is a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivitymetalloid is an element (e.g., germanium or silicon) whose properties are intermediate between those of metals and solid nonmetals. they are electrical semiconductors.

Answer from: Quest

as given the equation is

2al + 6 hcl > 2 alcl3 + 3 h2(g)

as per equation two moles of aluminum reacts with six moles of hcl to give two moles of alcl3 and three moles of hydrogen gas

given: three moles of al are present and 7 moles of hcl

for three moles of aluminum nine moles of hcl will be required

however as 7 moles of hcl are present so the limiting reagent is hcl

hcl is going to decide the number of moles of product formed

when six moles of hcl are present = 3 moles of h2 are formed

when one mole of hcl is present == 3/6 mole sof h2 will be formed

when 7 moles of hcl are present = 3 x 7/ 6 moles of h2 will be formed = 3.5 moles of h2