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3 years ago

If a gas with a volume of 12.5 L was cooled from 18 C to 0 C at constant pressure. What is the final volume

1 answer:

8 0

We can solve the problem by using Charle's law, which states that for a transformation of an ideal gas at constant pressure, the ratio between volume and absolute temperature of the gas remains constant:
$\frac{V}{T}=k$
where V is the volume of the gas and T its absolute temperature.

The previous law can be rewritten as
$\frac{V_1}{T_1}= \frac{V_2}{T_2}$ (1)
Let's convert the initial and final temperatures of the gas in Kelvin:
$T_1=18C+273=291 K$
$T_2 = 0C+273 = 273 K$
and the intiial volume is
$V_1 = 12.5 L$

so if we re-arrange equation (1) and we use these data, we can find the final volume of the gas:
$V_2=V_1 \frac{T_2}{T_1}=(12.5 L) \frac{273 K}{291 K}=11.7 L$

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Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings

faust18 [17]

Answer:

$7,440.

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%.

$\text{The amount of tax paid by Carys for 11000-43000}=\frac{20}{100}\times (43,000-11,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=0.20\times (32,000)$

$\text{The amount of tax paid by Carys for 11000-43000}=6400$

$\text{The amount of tax paid by Carys for the amount over 43000}=\frac{40}{100}\times (45,600-43,000)$

$\text{The amount of tax paid by Carys for the amount over 43000}=0.40\times (2600)$

$\text{The amount of tax paid by Carys for the amount over 43000}=1040$

$\text{The total amount of tax paid by Carys}=6400+1040$

$\text{The total amount of tax paid by Carys}=7440$

Therefore, Carys paid an amount of $7,440 in tax.

6 0

3 years ago

Read 2 more answers

Example of a rational number that is a square root

ipn [44]

Answer:

The list of prime number would probably start with 1 ( 2, 3, 5,7)

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3 years ago

The histogram presents the compressive strengths of a sample of concrete blocks hardened for 28 days.

dusya [7]

Answer:

The question is not complete but I have uploaded the image to complete the question.

The missing rectangle has a relative frequency of 0.15, and this is the same as the height.

Step-by-step explanation:

Let us define what a frequency and relative frequency are

The frequency of a datum is the number of times a given item (datum) appears in the data set.

While the relative frequency is the fraction or proportion of times taken from the whole in which an item/datum occurs.

So, from the image I uploaded, the relative frequency column represents the height of the histogram. Let the height of the missing rectangle be x.

Therefore the heights of the rectangles written from left to right are 0.05, 0.1, 0.15, x, 0.25, 0.2, and 0.1.

From the definition of relative frequency, the total sum of relative frequency is 1, if represented as decimals or fractions it can either be expressed in percentage, or decimal (fractions). In this question, it is represented in decimal, and the sum of all the relative frequency is 1.

0.05 + 0.1 + 0.15 + x + 0.25 + 0.2 + 0.1 = 1 ;

0.85+ x =1

Therefore, x = 1 - 0.85= 0.15