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marishachu [46]
3 years ago
8

After 273 m3 of ethylene oxide is formed at 748 kPa and 525 K, the gas is cooled at constant volume to 293 K.The new pressure is

_____kPa
Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
5 0
P1/T1 = P2/T2 

<span>748 / 525 = P2/293 </span>

<span>P2 = 748/525 X 293 = 417.455 kPa </span>
Schach [20]3 years ago
5 0

Answer:

Therefore, the new pressure is 417.455 kPa

Step-by-step explanation:

As per general gas equation

\frac{P_{1}V_{1}}{T_{1} }=\frac{P_{2}V_{2}}{T_{2} }

If Volume of a gas is constant then equation is represented by

\frac{P_{1}}{T_{1} }=\frac{P_{2}}{T_{2} }

Here P_{1}=748kPa and T_{1}=525K

If T_{2}=293K then we have to calculate the value of P_{2}

Now we plug in the values in the equation

\frac{748}{525}=\frac{P_{2}}{293}

P_{2}=\frac{(748)(293)}{525}

P_{2}= 417.455 kPa

Therefore, the new pressure is 417.455 kPa

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Reduce this fraction to lowest terms. 27/45<br><br> A.3/5<br> B.9/15<br> C.5/9
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3 years ago
Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey
tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

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Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 7 hours

Sample mean, \bar{x} = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s =  0.55 hours

First, we design the null and the alternate hypothesis

H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59

c) Now,

t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301

Since,                    

t_{stat} < t_{critical}

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that  mean number of hours of sleep for all college students is less than 7 hours.

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8 0
3 years ago
Bottles of mango juice are assumed to contain 275 milliliters of juice. There is some variation from bottle to bottle because th
pentagon [3]

Answer:

Step-by-step explanation:

The mean of the set of data given is

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Standard deviation = √(summation(x - mean)^2/n

n = 7

Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972

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We would set up the hypothesis test.

For the null hypothesis,

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This is a 2 tailed test.

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Since n = 7

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x = sample mean = 275.56

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