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Orlov [11]
4 years ago
7

Plsssssssssssssssssssssssssssssssssssssssss help me

Chemistry
1 answer:
Y_Kistochka [10]4 years ago
4 0

Answer:

C

Explanation:

A year is a complete revolution around the Earth

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A cubic box with sides of 20.0 cm contains 2.00 × 1023 molecules of helium with a root-mean-square speed (thermal speed) of 200
Anarel [89]

Answer:

1.133 kPa is the average pressure exerted by the molecules on the walls of the container.

Explanation:

Side of the cubic box = s = 20.0 cm

Volume of the box ,V= s^3

V=(20.0 cm)^3=8000 cm^3=8\times 10^{-3} m^3

Root mean square speed of the of helium molecule : 200m/s

The formula used for root mean square speed is:

\mu=\sqrt{\frac{3kN_AT}{M}}

where,

= root mean square speed

k = Boltzmann’s constant = 1.38\times 10^{-23}J/K

T = temperature = 370 K

M = mass helium = 3.40\times 10^{-27}kg/mole

N_A = Avogadro’s number = 6.022\times 10^{23}mol^{-1}

T=\frac{\mu _{rms}^2\times M}{3kN_A}

Moles of helium gas = n

Number of helium molecules = N =2.00\times 10^{23}

N = N_A\times n

Ideal gas equation:

PV = nRT

Substitution of values of T and n from above :

PV=\frac{N}{N_A}\times R\times \frac{\mu _{rms}^2\times M}{3kN_A}

PV=\frac{N\times R\times \mu ^2\times M}{3k\times (N_A)^2}

R=k\times N_A

PV=\frac{N\times \mu ^2\times M}{3}

P=\frac{2.00\times 10^{23}\times (200 m/s)^2\times 3.40\times 10^{-27} kg/mol}{3\times 8\times 10^{-3} m^3}

P=1133.33 Pa =1.133 kPa

(1 Pa = 0.001 kPa)

1.133 kPa is the average pressure exerted by the molecules on the walls of the container.

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