We can use the ideal gas
equation which is expressed as PV = nRT. At a constant volume and number of
moles of the gas the ratio of T and P is equal to some constant. At
another set of condition, the constant is still the same. Calculations are as
follows:
T1/P1 = T2/P2
P2 = T2 x P1 / T1
P2 = 273 x 340 / 713
<span>P2 = 130 kPa</span>
Recall the definition of the cross product with respect to the unit vectors:
i × i = j × j = k × k = 0
i × j = k
j × k = i
k × i = j
and that the product is anticommutative, so that for any two vectors u and v, we have u × v = - (v × u). (This essentially takes care of part (b).)
Now, given a = 8i + j - 2k and b = 5i - 3j + k, we have
a × b = (8i + j - 2k) × (5i - 3j + k)
a × b = 40 (i × i) + 5 (j × i) - 10 (k × i)
… … … … - 24 (i × j) - 3 (j × j) + 6 (k × j)
… … … … + 8 (i × k) + (j × k) - 2 (k × k)
a × b = - 5 (i × j) - 10 (k × i) - 24 (i × j) - 6 (j × k) - 8 (k × i) + (j × k)
a × b = - 5k - 10j - 24k - 6i - 8j + i
a × b = -5i - 18j - 29k
A block of plastic released under water will come up to the surface of the water because the density of the plastic is less than the density of water.
<h3>
What is density?</h3>
Density is the amount of mass a substance contains per its unit volume. It means the number of particles that can be packed into a unit space of that substance.
<h3>
How does density determine whether an object will float or sink?</h3>
When an object is immersed in a liquid, it experiences two forces - gravitational force and an upward buoyant force called upthrust. If the density of the object is more than the density of the liquid, gravitational force will be greater than upthrust and the object will sink, but if the density of the object is less than the density of the liquid, upthrust will be greater than gravitational force and the object will float. That is why a block of plastic will come up to the surface when released under water, because it is less dense than water.
Learn more about density here:
brainly.com/question/6329108
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It’s D. An enlargement (hope this helps!)
