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atroni [7]
3 years ago
13

Consider a short time span just before and after the spark plug in a gasoline engine ignites the fuel-air mixture and releases 1

970 J of thermal energy into a volume of 47.9 cm3 that is at a gas pressure of 1.18×106Pa. In this short period of time the volume of the gas can be considered constant.
Treating the fuel-air mixture as a monatomic ideal gas at an initial temperature of 325 K, what is its temperature after ignition?
Physics
2 answers:
Tju [1.3M]3 years ago
5 0

Answer:

Temperature after ignition=7883.205 K

Explanation:

The number of moles is,

n=PV/RT

=(1.18x10^6)(47.9x10^-6)/8.314(325)

= 0.0209 moles

a) In this process volume is constant

Q=U

=nCv.dT

dT= Q/nCv

=1970/(1.5x8.314)(0.0209)

= 7558.205 K

The final temperature is,

= 7558.205+325

= 7883.205 K

JulsSmile [24]3 years ago
5 0

Answer:

The temperature after ignition is 7859.565 K

Explanation:

Here we have

Energy released = 1970 J

Volume of gas = 47.9 cm³ = 0.0000479 m³

Pressure of gas = 1.18 × 10⁶ Pa

Temperature of he gas = 325 K

From P·V = n·R·T  

Therefore, n = PV/(RT) = (0.0000479 × 1.18 × 10⁶)/(8.3145× 325) = 2.09 × 10⁻² moles    

For an ideal mono-atomic gas, the mono-atomic gas, the molar heat capacity at constant volume is given as

C_v = 3/2 R ≈ 12.5 J K−1 mol⁻¹

Therefore we have

Heat released, ΔH = 1970 J = n × C_v×(T₂ - T₁) = 2.09 × 10⁻² × 12.5×(T₂ -325)

T₂ = (1970 J)/(2.09 × 10⁻² × 12.5) + 325  

    = 7534.565 +325 = 7859.565 K

The temperature after ignition = 7859.565 K.

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Answer:

The <em>net gravitational force it exerts</em> is F_{net}=9.66*10^{-8}N

Explanation:

Newton's Law of Gravitation can be written as

F=\frac{Gm_{1}m_{2}}{r^{2} }

where <em>G is the Gravitational Constant, m1 and m2 are the masses of two objects, and r is the distance between them</em>. In this case, the spheres are loacted in straight line, so instead of a vector r, we have a distance x in meters. The distances and masses are given in the problem, and the smaller sphere is between the other two spheres. This means <u>the sphere 1 is in the middle, the sphere 2 is on the left of 1, and the sphere 3 is on the right of 1</u>, so

F_{21} =\frac{Gm_{1}m_{2}}{x_{21}^{2} } is the force that 2 feels because of 1, and

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4 years ago
The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375V /m) cos[(1.99× 107rad/m)x + (5.97 × 1015rad
kenny6666 [7]

Answer:

a)  v = 2,9992 10⁸ m / s , b)  Eo = 375 V / m ,  B = 1.25 10⁻⁶ T,

c)     λ = 3,157 10⁻⁷ m,   f = 9.50 10¹⁴ Hz ,  T = 1.05 10⁻¹⁵ s , UV

Explanation:

In this problem they give us the equation of the traveling wave

        E = 375 cos [1.99 10⁷ x + 5.97 10¹⁵ t]

a) what the wave velocity

all waves must meet

        v = λ f

In this case, because of an electromagnetic wave, the speed must be the speed of light.

        k = 2π / λ

        λ = 2π / k

        λ = 2π / 1.99 10⁷

        λ = 3,157 10⁻⁷ m

        w = 2π f

        f = w / 2 π

        f = 5.97 10¹⁵ / 2π

        f = 9.50 10¹⁴ Hz

the wave speed is

        v = 3,157 10⁻⁷   9.50 10¹⁴

        v = 2,9992 10⁸ m / s

b) The electric field is

           Eo = 375 V / m

to find the magnetic field we use

           E / B = c

           B = E / c

            B = 375 / 2,9992 10⁸

            B = 1.25 10⁻⁶ T

c) The period is

           T = 1 / f

            T = 1 / 9.50 10¹⁴

            T = 1.05 10⁻¹⁵ s

the wavelength value is

          λ = 3,157 10-7 m (109 nm / 1m) = 315.7 nm

this wavelength corresponds to the ultraviolet

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